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1331321110400 = 27521599126017
BaseRepresentation
bin10011010111111000111…
…010111111111110000000
311201021101001112201101002
4103113320322333332000
5133303021201013100
62455333411431132
7165120243503141
oct23277072777600
94637331481332
101331321110400
11473679071aa6
121960288b54a8
139870a0a9168
144861724bac8
152496da0e2d5
hex135f8ebff80

1331321110400 has 96 divisors (see below), whose sum is σ = 3289111261680. Its totient is φ = 532474675200.

The previous prime is 1331321110393. The next prime is 1331321110417. The reversal of 1331321110400 is 40111231331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51158192 + ... + 51184208.

Almost surely, 21331321110400 is an apocalyptic number.

1331321110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331321110400 is an abundant number, since it is smaller than the sum of its proper divisors (1957790151280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331321110400 is a wasteful number, since it uses less digits than its factorization.

1331321110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42032 (or 42015 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1331321110400 its reverse (40111231331), we get a palindrome (1371432341731).

The spelling of 1331321110400 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-one million, one hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 15991 26017 31982 52034 63964 79955 104068 127928 130085 159910 208136 255856 260170 319820 399775 416272 511712 520340 639640 650425 799550 832544 1023424 1040680 1279280 1300850 1599100 1665088 2046848 2081360 2558560 2601700 3198200 3330176 4162720 5117120 5203400 6396400 8325440 10234240 10406800 12792800 16650880 20813600 25585600 41627200 51171200 83254400 416037847 832075694 1664151388 2080189235 3328302776 4160378470 6656605552 8320756940 10400946175 13313211104 16641513880 20801892350 26626422208 33283027760 41603784700 53252844416 66566055520 83207569400 133132111040 166415138800 266264222080 332830277600 665660555200 1331321110400